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Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

A novel view for the emergence of chaos in Lorenz-like systems is presented. For such purpose, the Lorenz problem is reformulated in a classical mechanical form and it turns out to be equivalent to the problem of a damped and forced one…

Chaotic Dynamics · Physics 2009-11-07 R. Festa , A. Mazzino , D. Vincenzi

We introduce a novel type of random perturbation for the classical Lorenz flow in order to better model phenomena slowly varying in time such as anthropogenic forcing in climatology and prove stochastic stability for the unperturbed flow.…

Dynamical Systems · Mathematics 2020-06-09 Michele Gianfelice , Sandro Vaienti

We report an experimental investigation on the influence of an external magnetic field on forced 3D turbulence of liquid gallium in a closed vessel. We observe an exponential damping of the turbulent velocity fluctuations as a function of…

Fluid Dynamics · Physics 2015-05-14 Basile Gallet , Michael Berhanu , Nicolas Mordant

The Reynolds number dependency of intermittency for 2D turbulence is studied in a flowing soap film. The Reynolds number used here is the Taylor microscale Reynolds number R_{\lambda}, which ranges from 20 to 800. Strong intermittency is…

Fluid Dynamics · Physics 2013-12-30 R. T. Cerbus , W. I. Goldburg

We address the experimentally observed non-Gaussian fluctuations for the energy injected into a closed turbulent flow at fixed Reynolds number. We propose that the power fluctuations mirror the internal kinetic energy fluctuations. Using a…

Statistical Mechanics · Physics 2007-05-23 B. Portelli , P. C. W. Holdsworth , J. -F. Pinton

Numerous studies have investigated the role of thermal instability in regulating the phase transition between the cold cloudy and warm diffuse medium of the interstellar medium. Considerable interest has also been devoted in investigating…

Astrophysics of Galaxies · Physics 2015-05-20 Maarit J. Mantere , Elizabeth Cole

Topological chaos has emerged as a powerful tool to investigate fluid mixing. While this theory can guarantee a lower bound on the stretching rate of certain material lines, it does not indicate what fraction of the fluid actually…

Chaotic Dynamics · Physics 2016-03-08 Spencer A. Smith , Sangeeta Warrier

We consider here the effects of inertia on the instability of a flat liquid film under the effects of capillary and intermolecular forces (van der Waals interaction). Firstly, we perform the linear stability analysis within the long wave…

Fluid Dynamics · Physics 2016-01-20 A. G. González , J. A. Diez , M. Sellier

Laminar-turbulent transition on a rotating wind turbine blade at a chord Reynolds number of $1 \times 10^5$ and varying angles of attack ($AoA$) is studied with direct numerical simulations and linear stability theory. The rotation effects…

Fluid Dynamics · Physics 2023-08-01 Thales Coelho Leite Fava , Dan Henningson , Ardeshir Hanifi

We report on-off intermittency in electroconvection of nematic liquid crystals driven by a dichotomous stochastic electric voltage. With increasing voltage amplitude we observe laminar phases of undistorted director state interrupted by…

patt-sol · Physics 2009-10-31 Thomas John , Ralf Stannarius , Ulrich Behn

Upon decreasing the Reynolds number, plane Couette flow first forms alternately turbulent and laminar oblique bands out of featureless turbulence below some upper threshold R_t. These bands exist down to a global stability threshold R_g…

Fluid Dynamics · Physics 2011-09-06 Paul Manneville

We propose a generalized perspective on the behavior of high-order derivative moments in turbulent shear flows by taking account of the roles of small-scale intermittency and mean shear, in addition to the Reynolds number. Two asymptotic…

Chaotic Dynamics · Physics 2009-11-07 J. Schumacher , K. R. Sreenivasan , P. K. Yeung

The present study reports comprehensive bifurcation analysis of flow past a rotating cylinder at a fixed rotation rate by varying free-stream Reynolds number ($Re_{\infty}$) from 1000-6000 in intervals of 50. Two-dimensional compressible…

Fluid Dynamics · Physics 2025-11-05 Aditi Sengupta , Santosh Kumar , Sanjeev Kumar

We study the influence of the forcing on the steady turbulent states of a von K\'arm\'an swirling flow, at constant impeller speed, or at constant torque. We find that the different forcing conditions change the nature of the stability of…

Fluid Dynamics · Physics 2014-01-29 Brice Saint-Michel , Bérengère Dubrulle , Florent Ravelet , François Daviaud

The principle of the Karlsruhe dynamo experiment is closely related to that of the Roberts dynamo working with a simple fluid flow which is, with respect to proper Cartesian co-ordinates x, y and z, periodic in x and y and independent of z.…

Plasma Physics · Physics 2009-11-07 Karl-Heinz Raedler , Axel Brandenburg

Rotation modulates turbulence causing columnar structuring of a turbulent flow in case of sufficiently strong rotation. This yields significant changes in the flow characteristics and dispersion properties, which makes rotational turbulence…

Chaotic Dynamics · Physics 2009-04-07 Arkadiusz K. Kuczaj , Bernard J. Geurts , Darryl D. Holm

Numerical simulations of turbulent round jets, using explicit-filtered LES technique, are performed, for three different Reynolds numbers(Re = 3600, 88000, 400000), to understand the Reynolds number effect on subsonic jets with Mach number…

Fluid Dynamics · Physics 2017-11-22 Ramanathan Varadharajan

On the basis of a lattice gas model and the convolution formula with cell construction scheme, we demonstrate that intermittency in the rapidity-space with respect to the scaled moments comes from a phase transition between ordered phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. R. Nakamura , K. Kudo , T. Hashimoto , I. Yoneda

This study investigates a mechanism of controlling separated flows around an airfoil using a synthetic jet (SJ). A large-eddy simulation (LES) was performed for a leading-edge separation flow around a NACA0015 airfoil at the chord Reynolds…

Fluid Dynamics · Physics 2023-06-21 Yoshiaki Abe , Taku Nonomura , Kozo Fujii